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Finding the Third Proportional to 634,164 and 1,320,816

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Solution

The third proportional to 634,164 and 1,320,816 is: 2,750,952.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,164 : 1,320,816 = 1,320,816 : x
  2. Step 2: Convert to fraction form
    634,164/1,320,816 = 1,320,816/x
  3. Step 3: Cross multiply
    634,164x = 1,320,816 × 1,320,816
  4. Step 4: Simplify right side
    634,164x = 1,744,554,905,856
  5. Step 5: Solve for x
    x = 1,744,554,905,856/634,164
  6. Step 6: Final answer
    x = 2,750,952.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.